Descriptive topology in selected topics of functional analysis
A large mathematical community throughout the world actively works in functional analysis and uses profound techniques from topology. As the first monograph to approach the topic of topological vector spaces from the perspective of descriptive topology, this work provides also new insights into the...
Tallennettuna:
| Päätekijät: | , , |
|---|---|
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
New York, NY :
Springer US
[20..].
Cham : Springer Nature |
| Painos: | 1st ed. 2011. |
| Sarja: | Developments in Mathematics
24 |
| Aiheet: | |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
Description d'après consultation du 22 mai 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Descriptive topology in selected topics of functional analysis, Jerzy K©akol, Wiesław Kubiś, Manuel López-Pellicer, 2011, Boston, MA, Springer, Developments in Mathematics, 978-1-4614-3003-2 |
Sisällysluettelo:
- Preface 1. Overview 2. Elementary Facts about Baire and Baire-Type Spaces 3. K-analytic and quasi-Suslin Spaces 4. Web-Compact Spaces and Angelic Theorems 5. Strongly Web-Compact Spaces and a Closed Graph Theorem 6. Weakly Analytic Spaces 7. K-analytic Baire Spaces 8. A Three-Space Property for Analytic Spaces 9. K-analytic and Analytic Spaces Cp(X) 10. Precompact sets in (LM)-Spaces and Dual Metric Spaces 11. Metrizability of Compact Sets in the Class G 12. Weakly Realcompact Locally Convex Spaces 13. Corson s Propery (C) and tightness 14. Fréchet-Urysohn Spaces and Groups 15. Sequential Properties in the Class G 16. Tightness and Distinguished Fréchet Spaces 17. Banach Spaces with Many Projections 18. Spaces of Continuous Functions Over Compact Lines 19. Compact Spaces Generated by Retractions 20. Complementably Universival Banach Space Index